Question

simplify (4-√5/4+√5)+(4-√5/4-√5)

Answer 1

$\frac{4 - \sqrt{5} }{4 + \sqrt{5} } + \frac{4 - \sqrt{5} }{4 - \sqrt{5} }$
after taking LCM
$\frac{ {(4 - \sqrt{5)} }^{2} + 16 - 5 }{16 - 5}$
$\frac{16 + 5 - 8 \sqrt{5 } + 16 - 5 }{11}$
cancle 5 with -5
$\frac{32 - 8 \sqrt{5} }{11}$

Answer 2

(4-√5/4+√5)+(4-√5/4-√5)
=4-√5/4+4-√5/4
=8-2√5/4
=8-√5/2
=8-2.236/2
=8-1.118
=6.882